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Prove that the function$\ f(x)=\sin(x^2)$ is not uniformly continuous on the domain $\mathbb{R}$.

real-analysis continuity uniform-continuity asked Oct 22 '12 at 21:26

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Let $G$ be a finite group with $|G|>2$. Prove that Aut($G$) contains at least two elements.

abstract-algebra group-theory finite-groups asked May 18 '13 at 14:53

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Easier program for period of Fibonacci sequence modulo p

performance-tuning programming number-theory integer-sequence asked Jan 26 '13 at 0:32

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Let $G$ be a group of order $pq$, with $p$ and $q$ prime. Prove that the order of the center of $G$ is 1 or $pq$.

abstract-algebra group-theory finite-groups asked May 12 '13 at 3:36

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Calculate $\int_{0}^{2\pi} \frac{\cos((2n+1)t)}{\cos(t)}dt$

homework complex-analysis asked May 2 '14 at 0:27

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In how many ways can the alphabet be ordered such that no four or five vowels are next to each other?

combinatorics asked Nov 6 '12 at 19:08

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For which values of $\alpha \in \mathbb R$ is the following system of linear equations solvable?

linear-algebra matrices asked Nov 4 '12 at 22:54

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Chain rule proof

analysis asymptotics asked May 18 '13 at 23:58

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Prove that $f$, such that $\forall\delta\gt0$ $|f(y)-f(x)|\lt\delta^2$ $\forall x,y\in\mathbb{R}$ and $|y-x|\lt\delta$, is a constant function.

real-analysis asked Oct 24 '12 at 0:19

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